Properties of Exponents
Simplify and leave your answer as a value raised to a power.
1610 * 164
1614
Simplify and leave your answer as a value with a POSITIVE exponent.
7-3
1/73
Simplify.
53
125
Write in standard form.
8.2 x 104
82,000
Simplify.
(3.3 x 10-5) + (5 x 10-5)
8.3 x 10-5
Simplify and leave your answer as a value raised to a power. (Reminder: division and fractions are the same operations)
g19/g12
g7
Simplify and leave your answer as a value with a POSITIVE exponent.
(3-5)5
1/325
Simplify.
(-4)2
16
Write in standard form.
7 x 10-6
.0000007
or
0.000007
Simplify.
(8.45 x 106) - (1.2 x 106)
7.25 x 106
Simplify and leave your answer as a value raised to a power.
(x7)5
x35
Simplify and leave your answer as a value with a POSITIVE exponent.
y-12 * y2
1/y10
Simplify.
(2/3)2
4/9
Write in standard form.
8.5 x 104
85,000
Simplify.
(4.28 x 103)(2 x 106)
8.56 x 109
Simplify and leave your answer as a value raised to a power.
(n6)3 * n-2
n16
Simplify and leave your answer as a value with a POSITIVE exponent.
(y5 / y10) * y2
1/y3
Determine both square roots of 49.
7, -7
Write in standard form.
5.64 x 10-3
.00564
Simplify.
(7.2 x 10-3) / (4 x 10-5)
1.8 x 102
Simplify and leave your answer as a value raised to a power. (Reminder: division and fractions are the same operation)
(822/89) * 811
824
Simplify and leave your answer as a value with a POSITIVE exponent.
(710 * 7-1) / 715
1/76
Justin is putting a fence in his square backyard for his dog. The area of his backyard is 225 feet squared. What does the length of one side of the fence need to be?
15 feet
Which of the following has a value that is greater than 10,000 but less than 100,000?
1.6 x 105
9.86 x 103
8.7 x 104
8.7 x 104
After Becca's half-marathon, her pedometer showed 23,580 steps, while Alex recorded 2.42 x 104 steps after the same race. What is the combined amount of their steps? Write your answer in standard form.
47,780